Use the Integral Test to Determine Whether the Infinite Series $\sum _ { k = 1 } ^ { \infty } \frac { 1 } { ( k + 2 ) ^ { 2 } }$

question 93

Short Answer

Use the integral test to determine whether the infinite series $\sum _ { k = 1 } ^ { \infty } \frac { 1 } { ( k + 2 ) ^ { 2 } }$ is convergent or divergent?
Enter just the word "convergent" or "divergent".

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Definitions:

Total Utility

The total satisfaction or benefit that a consumer derives from consuming a certain quantity of goods or services.

Consumer Surplus

Describes the difference between the total amount that consumers are willing and able to pay for a good or service and the total amount that they actually pay.

Action Figures

Small figures of characters from movies, comics, or video games, often collectible and targeted towards fans and collectors.

Consumer Surplus

is the difference between the maximum price a consumer is willing to pay for a good or service and the actual price they pay.